Principal stress and maximum shear stress calculator was developed to calculate principal
shear stresses, stress angles and Von Mises stress at a
specific point for plane stress (σz=τzx=τzy=0). Mohr's Circle is also drawn
according to input parameters.
The formulas used for the calculations are given in the
"List of Equations"
Note: Use dot "." as decimal separator.
*Maximum shear stress given in results is the maximum in-plane shear stress. For
out-plane shear stress, check 3D stress analysis.
Note 2:** There are 2 values for this parameter. The first value is shown in the table and the other value is 90°
apart from the first one.
Maximum Shear Stress Angle: The angle of orientation at which maximum
in-plane shear stress occurs for
a specific point.
Mohr’s Circle: A graphical method to represent the plane stress (also strain) relations. It’s a very effective way
to visualize a specific point’s stress states, stress transformations for an angle, principal and maximum shear stresses.
Normal Stress: Stress acts perpendicular to the surface (cross section).
Plane Stress: A loading situation on a cubic element where two faces the element is free of any stress.
Such a situation occurs on free surface of a structural element or machine component, at any point of the
surface of that element which is not subjected to an external force. Another example for plane stress is structures which are built from sheet metals where stresses across the thickness are negligible.
Principal Stress: Maximum and minimum normal stress possible
for a specific point on a structural element. Shear stress is 0 at the orientation where principal stresses occur.
Principal Angle: The angle of orientation at which principal stresses occur for a specific point.
Shear stress: A form of a stress acts parallel to the surface (cross section) which has a cutting nature.
Stress: Average force per unit area which results strain of material.
σx: Normal stress in X direction
σy: Normal stress in Y direction
τxy: Shear stress perpendicular to X axis and in Y direction.